A) Mode superpostion method:
Calculation of wall stiffness due to strut action
According to CSA S304.1-2004
Width of strut(w) = 0.5*{(αh^2 +αL^2)0.5}
αh =
αL=
tanѲ= 3.2/5 = 0.64
Ѳ = 32.62 degree
Em = 3,500,000,000 N/m2
Ef = 25,000,000,000 N/m2
t = 230 mm
X-axis Y-axis
calculation of αh: calculation of αh:
αh αh
Column Size Column Size
1st to 4th floor 350mmx 750mm 0.0123047 2.302 1st to 4th floor 350mmx 750mm 0.002680 1.575
5th to 7th floor 300mm x 600 mm 0.0054 1.875 5th to 7th floor 300mm x 600 mm 0.00135 1.327
8th to 10th floor 230mm x450 mm 0.0017466 1.415 8th to 10th floor 230mm x450 mm 0.000456263 1.012
Calculation of αL: αL
Beam Size
All 230mm x 450mm 0.0017466 3.226
Width of strut in x-axis side Width of strut in y-axis side
Width of
Floor Width of strut(m) X-area of strut (A)=w*t(m2) Floor X-area of strut (A)=w*t(m2)
strut(m)
1st to 4th 1.98 0.456 1st to 4th 1.79 0.413
5th to 7th 1.87 0.429 5th to 7th 1.74 0.401
8th to 10th 1.76 0.405 8th to 10th 1.69 0.389